Question

the product of two positive consecutive integers is equal to 56. find the two integers ​

Answer 1

Answer:

Let the two consecutive positive integers be x respectively.

(x)(x) = 56

2x = 56

$x = \frac{56}{2}$

x = 28

2x = 2.x 28

= 56

therefore the value of x is 28

Answer 2

Answer:

7 and 8

Step-by-step explanation:

Let the two consecutive integers be x,x+1.

Also given that their product is 56.

So,

(x)(x+1)=56

x^2+x=56

x^2+x-56=0

By doing factorisation

x^2+8x-7x-56=0

x×x+8×x-7×x-7×8=0

x(x+8)-7(x+8)=0

(x-7)(x+8)=0

x-7=0 or x+8=0

x=7 or x=-8

Being a positive integer,x can't be negative.

So,x=7

Therefore,the two consecutive integers are,x,x+1

So,they are 7,7+1=7,8.

So, therefore the two consecutive positive integers are7 and 8.

Hope it helps you!!!